442164998912
442,164,998,912 is an even composite number composed of six prime numbers multiplied together.
442164998912 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 442164998912:
28 × 73 × 13 × 192 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 19 × 19 × 29 × 37)See below for interesting mathematical facts about the number 442164998912 from the Numbermatics database.
Names of 442164998912
- Cardinal: 442164998912 can be written as Four hundred forty-two billion, one hundred sixty-four million, nine hundred ninety-eight thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 4.42164998912 × 1011
Factors of 442164998912
Divisors of 442164998912
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 29 32 37 38 49 52 56 58 64 74 76 91 98 104 112 116 128 133 148 152 182 196 203 208 224 232 247 256 259 266 296 304 343 361 364 377 392 406 416 448 464 481 494 518 532 551 592 608 637 686 703 722 728 754 784 812 832 896 928 931 962 988 1036 1064 1073 1102 1184 1216 1274 1372 1406 1421 1444 1456 1508 1568 1624 1664 1729 1792 1813 1856 1862 1924 1976 2072 2128 2146 2204 2368 2432 2527 2548 2639 2744 2812 2842 2888 2912 3016 3136 3248 3328 3367 3458 3626 3712 3724 3848 3857 3952 4144 4256 4292 4408 4459 4693 4736 4864 4921 5054 5096 5278 5488 5624 5684 5776 5824 6032 6272 6496 6517 6734 6916 7163 7252 7424 7448 7511 7696 7714 7904 8288 8512 8584 8816 8918 9139 9386 9472 9842 9947 10108 10192 10469 10556 10976 11248 11368 11552 11648 12064 12103 12544 12691 12992 13034 13357 13468 13832 13949 14326 14504 14896 15022 15392 15428 15808 16576 17024 17168 17632 17689 17836 18278 18473 18772 19684 19894 20216 20384 20387 20938 21112 21952 22496 22736 23104 23296 23569 24128 24206 25382 25984 26068 26714 26936 26999 27664 27898 28652 29008 29792 30044 30784 30856 31616 32851 33152 34048 34336 34447 35264 35378 35672 36556 36946 37544 39368 39788 40432 40768 40774 41876 42224 43904 44992 45472 46208 47138 48256 48412 50141 50764 51968 52136 52577 53428 53872 53998 55328 55796 57304 58016 59584 60088 61568 61712 63232 63973 65702 66304 68672 68894 70528 70756 71344 73112 73283 73892 75088 78736 79576 80864 81536 81548 83752 84448 84721 87808 89984 90944 92416 93499 94276 96512 96824 97643 100282 101528 104272 105154 106856 107744 107996 110656 111592 114608 116032 119168 120176 123136 123424 123823 127946 129311 131404 136097 137344 137788 141056 141512 142688 142709 146224 146566 147784 150176 157472 159152 161728 163072 163096 164983 167504 168896 169442 173641 179968 181888 186998 188552 188993 193648 195286 200564 203056 208544 210308 213712 215488 215992 221312 223184 229216 229957 232064 238336 240352 241129 246848 247646 255892 258622 262808 265031 272194 274688 275576 283024 285376 285418 292448 293132 295568 300352 314944 318304 323456 326192 329966 335008 337792 338884 347282 350987 363776 368039 373996 377104 377986 387296 387353 390572 401128 406112 417088 420616 427424 430976 431984 442624 446368 447811 458432 459914 464128 480704 482258 493696 495292 511784 512981 517244 525616 530062 544388 551152 566048 570752 570836 584896 586264 591136 600704 629888 636608 646912 652384 654493 659932 670016 675584 677768 683501 694564 701974 736078 747992 754208 755972 774592 774706 781144 802256 812224 834176 841232 854848 861952 863968 892736 895622 916864 919828 952679 961408 964516 987392 990584 998963 1023568 1025962 1034488 1051232 1060124 1088776 1102304 1132096 1141504 1141672 1169792 1172528 1182272 1201408 1215487 1259776 1273216 1304768 1308986 1319864 1340032 1355536 1367002 1389128 1403948 1472156 1495984 1508416 1511944 1549184 1549412 1562288 1604512 1609699 1624448 1668352 1682464 1709696 1727936 1785472 1791244 1833728 1839656 1855217 1905358 1922816 1929032 1981168 1997926 2047136 2051924 2068976 2102464 2120248 2177552 2204608 2264192 2283344 2339584 2345056 2364544 2430974 2456909 2546432 2609536 2617972 2639728 2680064 2711072 2711471 2734004 2778256 2807896 2944312 2991968 3016832 3023888 3098368 3098824 3124576 3134677 3209024 3219398 3248896 3364928 3419392 3455872 3570944 3582488 3590867 3679312 3710434 3810716 3858064 3962336 3995852 4094272 4103848 4137952 4204928 4240496 4355104 4409216 4528384 4566688 4581451 4690112 4729088 4784507 4861948 4913818 5035589 5219072 5235944 5279456 5422144 5422942 5468008 5556512 5615792 5888624 5983936 6033664 6047776 6197648 6249152 6269354 6418048 6438796 6668753 6729856 6911744 6992741 7164976 7181734 7358624 7420868 7621432 7716128 7924672 7991704 8188544 8207696 8275904 8409856 8480992 8508409 8710208 8818432 9133376 9162902 9380224 9569014 9723896 9827636 10071178 10471888 10558912 10844288 10845884 10936016 11113024 11231584 11777248 11967872 12095552 12395296 12498304 12538708 12836096 12877592 12986519 13337506 13459712 13985482 14329952 14363468 14717248 14841736 15242864 15432256 15849344 15983408 16377088 16415392 16551808 16961984 17016818 17420416 18266752 18325804 18760448 18980297 19138028 19447792 19655272 20142356 20943776 21117824 21688576 21691768 21872032 22226048 22463168 23554496 23935744 24191104 24790592 24996608 25077416 25755184 25973038 26675012 27970964 28659904 28726936 29434496 29683472 30485728 30864512 31698688 31966816 32830784 33103616 33923968 34033636 34840832 35249123 36533504 36651608 37960594 38276056 38895584 39310544 40284712 41887552 42235648 43383536 43744064 44452096 44926336 46681271 47108992 48382208 49581184 50154832 51510368 51946076 53350024 55941928 57319808 57453872 58868992 59366944 59558863 60971456 61729024 63933632 65661568 67847936 68067272 70498246 73303216 75921188 76552112 77791168 78621088 80569424 83775104 86767072 87488128 89852672 90905633 93362542 94217984 99162368 100309664 103020736 103892152 106700048 111883856 114639616 114907744 118733888 119117726 121942912 127867264 131323136 132862079 136134544 140996492 146606432 151842376 153104224 155582336 157242176 161138848 167550208 173534144 174976256 181811266 186725084 200619328 206041472 207784304 213400096 223767712 229815488 237467776 238235452 243885824 246743861 255734528 265724158 272269088 281992984 293212864 303684752 306208448 311164672 314484352 322277696 347068288 363622532 373450168 401238656 412082944 415568608 426800192 447535424 459630976 474935552 476470904 493487722 531448316 544538176 563985968 586425728 607369504 612416896 628968704 644555392 694136576 727245064 746900336 802477312 831137216 853600384 895070848 919261952 952941808 986975444 1062896632 1089076352 1127971936 1172851456 1214739008 1224833792 1289110784 1454490128 1493800672 1662274432 1707200768 1727207027 1790141696 1905883616 1973950888 2125793264 2178152704 2255943872 2429478016 2908980256 2987601344 3324548864 3454414054 3811767232 3947901776 4251586528 4511887744 4858956032 5817960512 5975202688 6908828108 7623534464 7895803552 8503173056 9023775488 11635921024 11950405376 13817656216 15247068928 15791607104 17006346112 23271842048 27635312432 31583214208 34012692224 55270624864 63166428416 110541249728 221082499456 442164998912
- Sum of all divisors σ(n): 1242907344000
- Sum of proper divisors (its aliquot sum) s(n): 800742345088
- 442164998912 is an abundant number, because the sum of its proper divisors (800742345088) is greater than itself. Its abundance is 358577346176
Bases of 442164998912
- Binary: 1100110111100110001011001110011000000002
- Hexadecimal: 0x66F3167300
- Base-36: 5N4LMGOW
Squares and roots of 442164998912
- 442164998912 squared (4421649989122) is 195509886262848961183744
- 442164998912 cubed (4421649989123) is 86447628646697854667830495992086528
-
The
square root of 442164998912 is 664954.8848696429 -
The
cube root of 442164998912 is 7618.3593468811
Scales and comparisons
How big is 442164998912?- 442,164,998,912 seconds is equal to 14,059 years, 24 weeks, 6 days, 10 hours, 48 minutes, 32 seconds.
-
To count from 1 to 442,164,998,912 would take you about twenty-eight thousand, one hundred eighteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 442164998912 cubic inches would be around 634.9 feet tall.
Recreational maths with 442164998912
- 442164998912 backwards is 219899461244
- The number of decimal digits it has is: 12
- The sum of 442164998912's digits is 59
- More coming soon!
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